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Finding the Fourth Proportional to 390,722.10, 539,199.10 and 227,475.92

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Solution

The fourth proportional to 390,722.10, 539,199.10 and 227,475.92 is: 313,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,722.10 : 539,199.10 = 227,475.92 : x
  2. Step 2: Convert to fraction form
    390,722.10/539,199.10 = 227,475.92/x
  3. Step 3: Cross multiply
    390,722.10x = 539,199.10 × 227,475.92
  4. Step 4: Simplify right side
    390,722.10x = 122,654,811,335.67
  5. Step 5: Solve for x
    x = 122,654,811,335.67/390,722.10
  6. Step 6: Final answer
    x = 313,918.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.